2x3x5x7x11x13=30,030
210
8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.
3
30,030 Factorization: 2x3x5x7x11x13
30
Every member of that infinite list is different.
The prime factorization of 8500 is 2 x 2 x 5 x 5 x 5 x 17. If listed in numerical order from smallest to largest, the last number in the prime factorization is 17.
The smallest number that has six different primes in its prime factorization is 30030 (2 x 3 x 5 x 7 x 11 x 13).
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
2*3*5 = 30
53 is a prime number so there is no relevant prime factorization for it.